6961238496 has 96 divisors (see below), whose sum is σ = 20554480800. Its totient is φ = 2320389504.

The previous prime is 6961238483. The next prime is 6961238513. The reversal of 6961238496 is 6948321696.

6961238496 is a `hidden beast` number, since 69 + 61 + 2 + 38 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20250 + ... + 119718.

It is an arithmetic number, because the mean of its divisors is an integer number (214109175).

Almost surely, 2^6961238496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6961238496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277240400).

6961238496 is an abundant number, since it is smaller than the sum of its proper divisors (13593242304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6961238496 is an frugal number, since it uses more digits than its factorization.

6961238496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99500 (or 99474 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 6961238496 is about 83434.0367955429. The cubic root of 6961238496 is about 1909.3937840209.

The spelling of 6961238496 in words is "six billion, nine hundred sixty-one million, two hundred thirty-eight thousand, four hundred ninety-six".